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Tuesday, 31 July 2012

Largest Sum Contiguous Subarray

Kadane's algorithm : 
Simple idea of the Kadane's algorithm is to look for all positive contiguous segments of the array (max_ending_here is used for this). And keep track of maximum sum contiguous segment among all positive segments (max_so_far is used for this).
 
int maxSubArraySum(int a[], int size)
{
   int max_so_far = 0, max_ending_here = 0;
   int i;
   for(i = 0; i < size; i++)
   {
     max_ending_here = max_ending_here + a[i];
     if(max_ending_here < 0)
        max_ending_here = 0;
     if(max_so_far < max_ending_here)
        max_so_far = max_ending_here;
    }
    return max_so_far;
}

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